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Localized anomalies in heterotic orbifolds

2002/08/31 by F. Gmeiner, Florian Gmeiner, Stefan Groot Nibbelink +7 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1016/s0550-3213(02)00943-4

published as Nucl.Phys.B648:35-68,2003 · 31 pages, LaTeX, with figures, v3: corrections to appendix C added, minor changes in the main text

openalex publication_date 2002/12/27 · arxiv created 2003/04/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently spatially localized anomalies have been considered in higher dimensional field theories. The question of the quantum consistency and stability of these theories needs further discussion. Here we would like to investigate what string theory might teach us about theories with localized anomalies. We consider the Z3 orbifold of the heterotic E8 x E8 theory, and compute the anomaly of the gaugino in the presence of Wilson lines. We find an anomaly localized at the fixed points, which depends crucially on the local untwisted spectra at those points. We show that non-Abelian anomalies cancel locally at the fixed points for all Z3 models with or without additional Wilson lines. At various fixed points different anomalous U(1)s may be present, but at most one at a given fixed point. It is in general not possible to construct one generator which is the sole source of the anomalous U(1)s at the various fixed points.

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